Taylor and Maclaurin Series
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the Maclaurin series for
cos
(
x
)
\text{cos}(x)
cos
(
x
)
?
QUESTION
State the Taylor polynomial of degree 2 for
f
(
x
)
=
sin
(
x
)
f(x) = \sin(x)
f
(
x
)
=
sin
(
x
)
at
a
=
0
a = 0
a
=
0
.
QUESTION
State the formula for the
n
t
h
n^{th}
n
t
h
term of a Taylor series.
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ANSWER
f
(
n
)
(
a
)
(
x
−
a
)
n
n
!
\frac{f^{(n)}(a)(x-a)^n}{n!}
n
!
f
(
n
)
(
a
)
(
x
−
a
)
n
. Standard form for any term in Taylor expansion.
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